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The manager of a plant has been instructed to hire and train additional employees to manufacture a new product. She must hire a sufficient number of new employees so that within 30 days they will...

You and a friend are racing motorcycles. You take off south going 3 m/s, then 2 seconds later your friend goes west going 4 m/s. Find a formula for D(t), the distance in meters between you and your...

A 5m ladder leans against a wall . The bottom of the ladder is 1.5m from the wall at time t=0 and slides away from the wall at a rate pf 0.8m/s. Find the velocity of the top of the ladder at time...

How fast is the length of his shadow on the building changing when he is 14 m from the building?       Related Rates of AP Calculus!!! Please help!!!

the rectangle a represents a house positioned 100 feet from a road and r = 22 feet from the boundary line between two properties. rectangle b represents a second house 130 feet from the road and s...

The cup on the 9th hole of a golf course is located dead center in the middle of a circular green which is 40 feet in radius. Your ball is located as in the picture below. The ball follows a straight...

The radius of a circular disk is given as 27 cm with a maximum error in measurement of 0.2 cm.   1) Use differentials to estimate the maximum error in the calculated area of the...

y= 4x-x^2-3lnx    f'(x)= 4-2x-(3/x)    My book is saying that its always decreasing, but when i look at the behavior before 0 , its negative and then after 0 its...

For reasons too complicated to explain, I need to create a rectangular orchid garden with an area of exactly 169 sq. ft. abutting my house so that the house itself forms the northern boundary. The...